0.4(1+0.3x)=0.6x-0.8

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Solution for 0.4(1+0.3x)=0.6x-0.8 equation:


Simplifying
0.4(1 + 0.3x) = 0.6x + -0.8
(1 * 0.4 + 0.3x * 0.4) = 0.6x + -0.8
(0.4 + 0.12x) = 0.6x + -0.8

Reorder the terms:
0.4 + 0.12x = -0.8 + 0.6x

Solving
0.4 + 0.12x = -0.8 + 0.6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.6x' to each side of the equation.
0.4 + 0.12x + -0.6x = -0.8 + 0.6x + -0.6x

Combine like terms: 0.12x + -0.6x = -0.48x
0.4 + -0.48x = -0.8 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.4 + -0.48x = -0.8 + 0.0
0.4 + -0.48x = -0.8

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -0.48x = -0.8 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.48x = -0.8 + -0.4
-0.48x = -0.8 + -0.4

Combine like terms: -0.8 + -0.4 = -1.2
-0.48x = -1.2

Divide each side by '-0.48'.
x = 2.5

Simplifying
x = 2.5

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